Transgressed Euler classes of vector bundles, adiabatic limits of eta invariants and special values of -functions
Nous donnons une courte démonstration de ce que les classes des variétés singulières définies par Marie-Hélène Schwartz au moyen des « champs radiaux » coïncident avec la notion fonctorielle définie par Robert MacPherson.
The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.
This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
Let Fⁿ be a connected, smooth and closed n-dimensional manifold satisfying the following property: if is any smooth and closed m-dimensional manifold with m > n and is a smooth involution whose fixed point set is Fⁿ, then m = 2n. We describe the equivariant cobordism classification of smooth actions of the group on closed smooth m-dimensional manifolds for which the fixed point set of the action is a submanifold Fⁿ with the above property. This generalizes a result of F. L. Capobianco,...